Error Bounds for Correlation Clustering

Abstract

This paper presents a learning theoretical analysis of correlation clustering (Bansal et al., 2002). In particular, we give bounds on the error with which correlation clustering recovers the correct partition in a planted partition model (Condon & Karp, 2001; McSherry, 2001). Using these bounds, we analyze how the accuracy of correlation clustering scales with the number of clusters and the sparsity of the graph. We also propose a statistical test that analyzes the significance of the clustering found by correlation clustering.

Cite

Text

Joachims and Hopcroft. "Error Bounds for Correlation Clustering." International Conference on Machine Learning, 2005. doi:10.1145/1102351.1102400

Markdown

[Joachims and Hopcroft. "Error Bounds for Correlation Clustering." International Conference on Machine Learning, 2005.](https://mlanthology.org/icml/2005/joachims2005icml-error/) doi:10.1145/1102351.1102400

BibTeX

@inproceedings{joachims2005icml-error,
  title     = {{Error Bounds for Correlation Clustering}},
  author    = {Joachims, Thorsten and Hopcroft, John E.},
  booktitle = {International Conference on Machine Learning},
  year      = {2005},
  pages     = {385-392},
  doi       = {10.1145/1102351.1102400},
  url       = {https://mlanthology.org/icml/2005/joachims2005icml-error/}
}